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Kasparov, Gennadi G.

Author ID: kasparov.gennadi-g Recent zbMATH articles by "Kasparov, Gennadi G."
Published as: Kasparov, G. G.; Kasparov, Gennadi; Kasparov, Gennadi G.; Kasparov, Guennadi
External Links: Math-Net.Ru
Videos: carmin.tv
Documents Indexed: 34 Publications since 1969, including 2 Additional arXiv Preprints
Co-Authors: 6 Co-Authors with 12 Joint Publications
126 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 1,411 times in 904 Documents Cited by Year
Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053
Kasparov, G. G.
358
1988
Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059
Kasparov, G. G.
165
1980
\(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
Higson, Nigel; Kasparov, Gennadi
144
2001
Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051
Kasparov, G. G.
137
1980
The operator K-functor and extensions of C*-algebras. Zbl 0464.46054
Kasparov, G. G.
129
1981
Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003
Kasparov, Gennadi; Skandalis, Georges
51
2003
The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003
Kasparov, Gennadi; Yu, Guoliang
49
2006
\(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020
Kasparov, G. G.
42
1995
Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006
Kasparov, G. G.
39
1976
Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
Higson, Nigel; Kasparov, Gennadi
38
1997
A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
33
1998
Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035
Kasparov, G. G.; Skandalis, G.
32
1991
Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004
Julg, Pierre; Kasparov, Gennadi
26
1995
Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016
Kasparov, G. G.
26
1975
The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003
Kasparov, Gennadi; Yu, Guoliang
25
2012
Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004
Kasparov, G. G.
25
1984
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001
Kasparov, Gennadi
20
2016
Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047
Kasparov, G. G.
20
1984
An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007
Kasparov, G. G.
15
1983
“Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003
Kasparov, Guennadi; Skandalis, Georges
8
1994
Operator \(K\)-theory and its applications. Zbl 0616.46064
Kasparov, G. G.
6
1987
Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005
Kasparov, Gennadi
4
1993
Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903
Kasparov, G. G.
4
1969
Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057
Kasparov, G. G.
3
1979
On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402
Kasparov, G. G.
3
1970
Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070
Kasparov, G. G.
2
1991
The generalized index of elliptic operators. Zbl 0305.58017
Kasparov, G. G.
1
1974
The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053
Kasparov, G. G.
1
1980
Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010
Kasparov, Gennadi G.; Skandalis, Georges
1
1990
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001
Kasparov, Gennadi
20
2016
The Novikov conjecture and geometry of Banach spaces. Zbl 1257.19003
Kasparov, Gennadi; Yu, Guoliang
25
2012
The coarse geometric Novikov conjecture and uniform convexity. Zbl 1102.19003
Kasparov, Gennadi; Yu, Guoliang
49
2006
Groups acting properly on “bolic” spaces and the Novikov conjecture. Zbl 1029.19003
Kasparov, Gennadi; Skandalis, Georges
51
2003
\(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
Higson, Nigel; Kasparov, Gennadi
144
2001
A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
33
1998
Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
Higson, Nigel; Kasparov, Gennadi
38
1997
\(K\)-theory, group \(C^*\)-algebras, and higher signatures (conspectus). Zbl 0957.58020
Kasparov, G. G.
42
1995
Operator \(K\)-theory for the group \(SU(n,1)\). Zbl 0819.19004
Julg, Pierre; Kasparov, Gennadi
26
1995
“Bolic” groups and Novikov’s conjecture. (Groupes “boliques” et conjecture de Novikov.) Zbl 0839.19003
Kasparov, Guennadi; Skandalis, Georges
8
1994
Novikov’s conjecture on higher signatures: The operator \(K\)-theory approach. Zbl 0788.19005
Kasparov, Gennadi
4
1993
Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. Zbl 0738.46035
Kasparov, G. G.; Skandalis, G.
32
1991
Relative \(K\)-homology and \(K\)-homology of an ideal. Zbl 0744.46070
Kasparov, G. G.
2
1991
Groupes agissant sur des immeubles de Bruhat-Tits, K-théorie opératorielle et conjecture de Novikov. (Groups acting on Bruhat-Tits buildings, operator K-theory and Novikov’s conjecture). Zbl 0705.19010
Kasparov, Gennadi G.; Skandalis, Georges
1
1990
Equivariant KK-theory and the Novikov conjecture. Zbl 0647.46053
Kasparov, G. G.
358
1988
Operator \(K\)-theory and its applications. Zbl 0616.46064
Kasparov, G. G.
6
1987
Lorentz groups: K-theory of unitary representations and crossed products. Zbl 0584.22004
Kasparov, G. G.
25
1984
Operator K-theory and its applications: Elliptic operators, group representations, higher signatures, \(C^*\)-extensions. Zbl 0571.46047
Kasparov, G. G.
20
1984
An index for invariant elliptic operators, K-theory, and representations of Lie groups. Zbl 0526.22007
Kasparov, G. G.
15
1983
The operator K-functor and extensions of C*-algebras. Zbl 0464.46054
Kasparov, G. G.
129
1981
Hilbert C*-modules: Theorems of Stinespring and Voiculescu. Zbl 0456.46059
Kasparov, G. G.
165
1980
Operator-K-Funktoren und Erweiterungen von C*-Algebren. Zbl 0448.46051
Kasparov, G. G.
137
1980
The K-functor in the theory of extensions of C*-algebras. Zbl 0447.46053
Kasparov, G. G.
1
1980
Der K-Funktor in der Theorie der Erweiterungen von C*-Algebren. Zbl 0421.46057
Kasparov, G. G.
3
1979
Topological invariants of elliptic operators. I: K-homology. Zbl 0337.58006
Kasparov, G. G.
39
1976
Topologische Invarianten elliptischer Operatoren. I: K-Homologien. Zbl 0328.58016
Kasparov, G. G.
26
1975
The generalized index of elliptic operators. Zbl 0305.58017
Kasparov, G. G.
1
1974
On the homotopy invariance of the rational Pontryagin numbers. Zbl 0212.28402
Kasparov, G. G.
3
1970
Die Invarianten der klassischen Linsenmannigfaltigkeiten in der Kobordismentheorie. Zbl 0195.24903
Kasparov, G. G.
4
1969
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Cited by 662 Authors

30 Yu, Guoliang
25 Rennie, Adam
23 Dadarlat, Marius
17 Meyer, Ralf
16 Wang, Qin
15 Skandalis, Georges
14 Kucerovsky, Dan Z.
14 Mesland, Bram
13 Ng, Ping Wong
12 Benameur, Moulay-Tahar
12 Echterhoff, Siegfried
12 Emerson, Heath
12 Kaad, Jens
12 Rosenberg, Jonathan Micah
11 Carey, Alan L.
11 Deeley, Robin J.
11 Higson, Nigel
11 Troitskiĭ, Evgeniĭ Vadimovich
11 Valette, Alain
11 Wang, Hang
11 Weinberger, Shmuel
11 Xie, Zhizhang
10 Kubota, Yosuke
10 Lück, Wolfgang
10 Mathai, Varghese
10 Vasselli, Ezio
9 Connes, Alain
9 Goffeng, Magnus
9 Kasparov, Gennadi G.
9 Manuĭlov, Vladimir Markovich
8 Bourne, Chris
8 Burgstaller, Bernhard
8 Chen, Xiaoman
8 Debord, Claire
8 Nest, Ryszard
8 Oyono-Oyono, Hervé
8 Savin, Anton Yur’evich
8 Schick, Thomas
8 Thomsen, Klaus E.
7 Piazza, Paolo
7 van den Dungen, Koenraad Lambertus
7 van Suijlekom, Walter Daniël
6 Douglas, Ronald George
6 Hochs, Peter
6 Kaminker, Jerome
6 Li, Xin
6 Phillips, N. Christopher
6 Schochet, Claude L.
6 Willett, Rufus
5 Fu, Benyin
5 Gheondea, Aurelian
5 Gong, Guihua
5 Guentner, Erik Paul
5 Guo, Hao
5 Julg, Pierre
5 Lescure, Jean-Marie
5 Lin, Huaxin
5 Loizides, Yiannis
5 Loring, Terry A.
5 Lott, John
5 Pennig, Ulrich
5 Roy, Indrava
5 Song, Yanli
5 Sternin, Boris Yur’evich
5 Voigt, Christian
5 Winter, Wilhelm
5 Zhou, Dapeng
4 Arici, Francesca
4 Ay, Serdar
4 Barlak, Selçuk
4 Baudier, Florent Pierre
4 Baum, Paul Frank
4 Bunke, Ulrich
4 Cheng, Qingjin
4 Deng, Jintao
4 Elliott, George A.
4 Gabe, James
4 Germain, Emmanuel
4 Guo, Liang
4 Haskell, Peter
4 Hilsum, Michel
4 Kaliszewski, Steven Paul
4 Lesch, Matthias
4 Luo, Zheng
4 Naor, Assaf
4 Nishikawa, Shintaro
4 Nistor, Victor
4 Ozawa, Narutaka
4 Paravicini, Walther Dietrich
4 Phillips, John
4 Proietti, Valerio
4 Quigg, John C.
4 Sims, Aidan
4 Skalski, Adam G.
4 Skeide, Michael
4 Suzuki, Yuhei
4 Szabó, Gábor
4 Wang, Xianjin
4 Watatani, Yasuo
4 Whittaker, Michael F.
...and 562 more Authors
all top 5

Cited in 161 Serials

110 Journal of Functional Analysis
59 Journal of Noncommutative Geometry
47 Advances in Mathematics
41 \(K\)-Theory
29 Communications in Mathematical Physics
28 Journal of Geometry and Physics
25 Transactions of the American Mathematical Society
24 Mathematische Annalen
22 Proceedings of the American Mathematical Society
19 Journal of Mathematical Analysis and Applications
18 Annals of \(K\)-Theory
17 Journal of Topology and Analysis
16 Journal für die Reine und Angewandte Mathematik
15 Journal of \(K\)-Theory
14 International Journal of Mathematics
11 Annales de l’Institut Fourier
10 Inventiones Mathematicae
10 Bulletin of the American Mathematical Society. New Series
10 Geometry & Topology
9 Journal of Mathematical Physics
9 Duke Mathematical Journal
8 Ergodic Theory and Dynamical Systems
8 Documenta Mathematica
7 Rocky Mountain Journal of Mathematics
7 Integral Equations and Operator Theory
7 Russian Journal of Mathematical Physics
7 Journal of Topology
6 Publications Mathématiques
6 Mathematische Zeitschrift
6 Proceedings of the London Mathematical Society. Third Series
6 Topology and its Applications
6 Geometric and Functional Analysis. GAFA
6 Journal of Mathematical Sciences (New York)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Studia Mathematica
5 Reviews in Mathematical Physics
5 Bulletin de la Société Mathématique de France
5 Geometriae Dedicata
5 Journal of Pure and Applied Algebra
5 Chinese Annals of Mathematics. Series B
5 Annals of Global Analysis and Geometry
5 Expositiones Mathematicae
5 Algebraic & Geometric Topology
5 Groups, Geometry, and Dynamics
5 Kyoto Journal of Mathematics
5 Annals of Functional Analysis
4 Letters in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Glasgow Mathematical Journal
4 Memoirs of the American Mathematical Society
4 The New York Journal of Mathematics
4 Annales Henri Poincaré
4 Journal of the Australian Mathematical Society
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Complex Analysis and Operator Theory
3 Bulletin of the Australian Mathematical Society
3 Houston Journal of Mathematics
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Bulletin of the London Mathematical Society
3 Functional Analysis and its Applications
3 Journal of the London Mathematical Society. Second Series
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Oberwolfach Reports
3 Operators and Matrices
3 Banach Journal of Mathematical Analysis
3 Science China. Mathematics
3 Analysis and Geometry in Metric Spaces
2 Communications on Pure and Applied Mathematics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of the American Mathematical Society
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 L’Enseignement Mathématique. 2e Série
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Combinatorics
2 Selecta Mathematica. New Series
2 Bulletin des Sciences Mathématiques
2 Theory and Applications of Categories
2 Electronic Research Announcements of the American Mathematical Society
2 Mathematical Physics, Analysis and Geometry
2 Positivity
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Homotopy and Related Structures
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Linear and Multilinear Algebra
1 Moscow University Mathematics Bulletin
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Arkiv för Matematik
...and 61 more Serials
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Cited in 44 Fields

649 Functional analysis (46-XX)
383 \(K\)-theory (19-XX)
223 Global analysis, analysis on manifolds (58-XX)
97 Group theory and generalizations (20-XX)
94 Topological groups, Lie groups (22-XX)
83 Operator theory (47-XX)
74 Manifolds and cell complexes (57-XX)
72 Algebraic topology (55-XX)
65 Differential geometry (53-XX)
49 Quantum theory (81-XX)
39 Category theory; homological algebra (18-XX)
35 Abstract harmonic analysis (43-XX)
24 Dynamical systems and ergodic theory (37-XX)
23 Associative rings and algebras (16-XX)
17 General topology (54-XX)
16 Geometry (51-XX)
14 Number theory (11-XX)
12 Algebraic geometry (14-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Combinatorics (05-XX)
11 Several complex variables and analytic spaces (32-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Partial differential equations (35-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Probability theory and stochastic processes (60-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Nonassociative rings and algebras (17-XX)
3 Measure and integration (28-XX)
3 Convex and discrete geometry (52-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year